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Using the data in the decision tree, calculate the net gain for the marketing campaign - Edexcel - A-Level Business - Question 1 - 2022 - Paper 2

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Using the data in the decision tree, calculate the net gain for the marketing campaign. State your answer to two decimal places. You are advised to show your working... show full transcript

Worked Solution & Example Answer:Using the data in the decision tree, calculate the net gain for the marketing campaign - Edexcel - A-Level Business - Question 1 - 2022 - Paper 2

Step 1

Calculate Marketing Campaign Value

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Answer

First, determine the expected value of the marketing campaign. Given that the success probability is 60% on a project worth £3 million, the expected revenue can be calculated as:

0.6×£3,000,000=£1,800,0000.6 \times £3,000,000 = £1,800,000

Step 2

Calculate Initial Costs

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Next, identify the initial costs associated with the marketing campaign. If the campaign cost is £50,000 and the likelihood of not achieving success is 40% (or $0.4), the cost can be calculated as:

0.4×£50,000=£20,0000.4 \times £50,000 = £20,000

Step 3

Compute Expected Gain

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Now, subtract the initial costs from the expected revenue to find the expected gain:

Expected ValueInitial Costs=£1,800,000£20,000=£1,780,000Expected\ Value - Initial\ Costs = £1,800,000 - £20,000 = £1,780,000

Step 4

Calculate Net Gain

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Lastly, the net gain can be calculated by taking the expected gain value minus the predefined initial value:

Net Gain=Expected GainInitial Value=£1,780,000£360,000=£1,420,000Net\ Gain = Expected\ Gain - Initial\ Value = £1,780,000 - £360,000 = £1,420,000

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